Aircraft: COMMERCIAL FIXED WING
Phase of flight: Descent
Anomaly: Aircraft Equipment Problem Critical; Deviation / Discrepancy - Procedural Published Material / Policy

During cruise; 3 hours in the flight; I heard a loud noise that sounded like a stall/chug. I was near L1 door. I asked the A FA (Flight Attendant); he heard it but he didn't. Later on; I went to the back of the plane. Aft galley & told the C FA what I felt and she told me she felt something 'unusual' on the floor of the aft galley; probably about the same time I was in the fwd galley. We decided to call the pilots (called them twice) but they didn't pick up. We would try again a few minutes later; figured they were busy with the sound but just then; they called for a lavatory break. We ended up forgetting to notify them. During decent; wheels down; the C FA & I felt the aft of the aircraft chug a few times and make the strange popping sounds. We both looked at each other and decided to talk about it upon landing. When we landed; we both agreed it was 'abnormal' so we called the pilots when we were disarmed and at the gate. After calling the pilots and explaining to them; the Captain told us to go to the flight deck and close the flight deck door. He ended up explaining to us that they did feel the abnormal chugs and thought it was a bird strike and didn't know until we were on the ground that the engine had failed (showed us on the monitor a red icon on the engine) but didn't really explain other wise. Myself and the rest of the crew didn't feel that great about the debrief. The A & C were able to go but the D and I had to continue on to ZZZ. That night; going to bed; I realized how serious the situation was and made me feel uneasy. On date; after landing in ZZZ1; a different Captain was talking about the incident because earlier in the day; there was an emergency landing by another airline and the [type aircraft]. Anyhow; when he realized I was on the ETOPS flight; he mentioned that we were lucky to be alive. He did an amazing job explaining that our situation was a 'compressor failure' and many things can cause that but the biggest concern was that after leaving ZZZ2 ; the engine was sending pings to maintenance notifying of the engine overheating...the pilots decided to continue on to ZZZ3. Knowing that bit of information; and then to experience the compressor failure and no good CRM; I am frustrated; annoyed and somewhat uneasy flying to ZZZ2 now after hearing unfamiliar sounds about three hours into flight (the C FA heard these sounds as well); I called the pilots at about 3 hours into flight but didn't get a hold of them. I then forgot until the next set of sounds were heard at gear down. Upon parking at the gate; I called the pilots and I was instructed to talk to them with the door shut when I go to the front. After all guests were off the plane; I explained to the pilots again what sounds we heard and the Captain told me (then the rest of the crew) that the sounds heard were those in line of what is heard of a 'bird strike'. He then mention something to the fact that the engine went off line (he said this because I pointed out that the engine symbol on the instrument panel had a red square on it) about two times and we all were then confused and he said we shouldn't worry about it. Better CRM and think about the whole ready; safe; go action plan. There should have been a way better debrief by the pilots. After an event like this; I shouldn't be the one pushing for answers when I felt uneasy. Flight Attendant reported misgivings over Crew Coordination and Communication over compressor stalls during this and other flights; including ETOPS.